Use the Traditional Method of Hypothesis Testing to Test the Given

question 7

Essay

Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that
two dependent samples have been randomly selected from normally distributed populations.
-A coach uses a new technique to train gymnasts. 7 gymnasts were randomly selected and their competition scores were recorded before and after the training. The results are shown below. $\begin{array}{ c | r r r r r r r } \text { Subject } & A & B & C & D & E & F & G \\\hline \text { Before } & 9.4&9.5&9.7&9.4&9.5&9.7&9.6 \\\hline \text { After } &9.5&9.7&9.7&9.3&9.6&10&9.4\end{array}$
Using a 0.01 level of significance, test the claim that the training technique is effective in raising the gymnasts' scores.

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Definitions:

Pair-Rule Genes

Genes involved in the development of segmented animals, providing positional information during embryo segmentation.

Oncogenes

Genes that have the potential to cause cancer by promoting cell growth and division in an uncontrolled manner.

Tumor Suppressor Genes

Genes that help regulate cell growth and division, and can suppress tumor formation when functioning properly.

Pair-Rule Genes

Genes in fruit flies that direct the formation of segmented body patterns during early embryonic development.